Office of Academic Resources
Chulalongkorn University
Chulalongkorn University

Home / Help

AuthorBourbaki, Nicolas. author
TitleTheory of Sets [electronic resource] / by Nicolas Bourbaki
ImprintBerlin, Heidelberg : Springer Berlin Heidelberg, 2004
Connect tohttp://dx.doi.org/10.1007/978-3-642-59309-3
Descript VIII, 414 p. online resource

CONTENT

I. Description of Formal Mathematics -- ยง 1. Terms and relations -- ยง 2. Theorems -- ยง 3. Logical theories -- ยง 4. Quantified theories -- ยง 5. Equalitarian theories -- Appendix. Characterization of terms and relations -- Exercises for ยง 1 -- Exercises for ยง 2 -- Exercises for ยง 3 -- Exercises for ยง 4 -- Exercises for ยง 5 -- Exercises for the Appendix -- II. Theory of Sets -- ยง 1. Collectivizing relations -- ยง 2. Ordered pairs -- ยง 3. Correspondences -- ยง 4. Union and intersection of a family of sets -- ยง 5. Product of a family of sets -- ยง 6. Equivalence relations -- Exercises for ยง 1 -- Exercises for ยง 2 -- Exercises for ยง 3 -- Exercises for ยง 4 -- Exercises for ยง 5 -- Exercises for ยง 6 -- III. Ordered Sets, Cardinals, Integers -- ยง 1. Order relations. Ordered sets -- ยง 2. Well-ordered sets -- ยง 3. Equipotent sets. Cardinals -- ยง 4. Natural integers. Finite sets -- ยง 5. Properties of integers -- ยง 6. Infinite sets -- ยง 7. Inverse limits and direct limits -- Exercises for ยง 1 -- Exercises for ยง 2 -- Exercises for ยง 3 -- Exercises for ยง 4 -- Exercises for ยง 5 -- Exercises for ยง 6 -- Exercises for ยง 7 -- Historical Note on ยง 5 -- IV. Structures -- ยง 1. Structures and isomorphisms -- ยง 2. Morphisms and derived structures -- ยง 3. Universal mappings -- Exercises for ยง 1 -- Exercises for ยง 2 -- Exercises for ยง 3 -- Historical Note on Chapters I-IV -- Summary of Results -- ยง 1. Elements and subsets of a set -- ยง 2. Functions -- ยง 3. Products of sets -- ยง 4. Union, intersection, product of a family of sets -- ยง 5. Equivalence relations and quotient sets -- ยง 6. Ordered sets -- ยง 7. Powers. Countable sets -- ยง 8. Scales of sets. Structures -- Index of notation -- Index of terminology -- Axioms and schemes of the theory of sets


Mathematics Mathematical logic Mathematics Mathematical Logic and Foundations



Location



Office of Academic Resources, Chulalongkorn University, Phayathai Rd. Pathumwan Bangkok 10330 Thailand

Contact Us

Tel. 0-2218-2929,
0-2218-2927 (Library Service)
0-2218-2903 (Administrative Division)
Fax. 0-2215-3617, 0-2218-2907

Social Network

  line

facebook   instragram